Electron. J. Diff. Eqns. Vol. **1995**(1995), No. 14, pp. 1-13.

###
Picones's Identity and the Moving Plane Procedure

W. Allegretto & D. Siegel

**Abstract:**

Positive solutions of a class of nonlinear elliptic
partial differential equations are shown to be symmetric by means
of the moving plane argument coupled with Spectral Theory results
and Picone's Identity. The method adapts easily to situations
where the moving plane procedure gives rise to variational
problems with positive eigenfunctions.

Submitted April 15, 1995. Published October 6 ,1995.

Math Subject Classification: 35B05, 35J60.

Key Words: symmetry, positive solutions, nonlinear elliptic,
moving plane, Spectral Theory, Picone's Identity.

Show me the
PDF file (220 KB),
TEX file, and other files for this article.

Walter Allegretto

Department of Mathematics,
University of Alberta,
Edmonton, Alberta,
Canada T6G 2G1

e-mail: retl@retl.math.ualberta.ca
David Siegel

Department of Applied Mathematics,
University of Waterloo,
Waterloo, Ontario,
Canada N2L 3G1

e-mail: dsiegel@math.uwaterloo.ca

Return to the EJDE home page.